3y+17=5y+9

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Solution for 3y+17=5y+9 equation:


Simplifying
3y + 17 = 5y + 9

Reorder the terms:
17 + 3y = 5y + 9

Reorder the terms:
17 + 3y = 9 + 5y

Solving
17 + 3y = 9 + 5y

Solving for variable 'y'.

Move all terms containing y to the left, all other terms to the right.

Add '-5y' to each side of the equation.
17 + 3y + -5y = 9 + 5y + -5y

Combine like terms: 3y + -5y = -2y
17 + -2y = 9 + 5y + -5y

Combine like terms: 5y + -5y = 0
17 + -2y = 9 + 0
17 + -2y = 9

Add '-17' to each side of the equation.
17 + -17 + -2y = 9 + -17

Combine like terms: 17 + -17 = 0
0 + -2y = 9 + -17
-2y = 9 + -17

Combine like terms: 9 + -17 = -8
-2y = -8

Divide each side by '-2'.
y = 4

Simplifying
y = 4

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